# -*- coding: UTF-8 -*-
from typing import List
from leetcode_helper import TestcaseHelper, SolutionBase


class Solution(SolutionBase):
    # 解题的方法，命名和Leetcode的保持一致即可
    def change2(self, amount: int, coins: List[int]) -> int:
        dp = [0] * (amount + 1)
        dp[0] = 1

        for coin in coins:
            for i in range(coin, amount + 1):
                dp[i] += dp[i - coin]

        return dp[-1]

    def change3(self, amount: int, coins: List[int]) -> int:
        coin_count = len(coins)
        dp = [[0] * (amount + 1) for _ in range(coin_count+1)]

        for i in range(coin_count+1):
            dp[i][0] = 1
        for j in range(1, amount + 1):
            dp[0][j] = 0

        for i in range(1, coin_count + 1):
            for j in range(1, amount + 1):
                if j >= coins[i - 1]:
                    dp[i][j] = dp[i][j - coins[i - 1]]
                dp[i][j] += dp[i-1][j]

        return dp[-1][amount]

    def change(self, amount: int, coins: List[int]) -> int:
        coin_count = len(coins)
        dp = [[0] * (amount + 1) for _ in range(coin_count)]

        for j in range(amount + 1):
            if amount % coins[0] == 0:
                dp[0][j] = 1

        for i in range(1, coin_count):
            for j in range(amount + 1):
                not_used_count = dp[i - 1][j]
                used_count = 0
                k = 1
                while True:
                    if j - k * coins[i] >= 0:
                        used_count += dp[i-1][j-k*coins[i]]
                        k += 1
                    else:
                        break
                dp[i][j] = not_used_count + used_count

        return dp[-1][amount]


if __name__ == '__main__':
    solution = Solution()

    # 按照leetcode的题目说明，将基本的test case填入
    # 每条case的最后一个元素是正确的结果，即期待的结果
    # 使用元组来保存输入的数据，期待的结果
    testcases = [
        (5, [1, 2, 5], 4),
        (3, [2], 0),
        (10, [10], 1)
    ]

    for case_item in testcases:
        # 获取测试用的case和期待的执行结果
        input1 = case_item[0]
        input2 = case_item[1]

        expect = case_item[len(case_item) - 1]

        exec_result = solution.change(input1, input2)

        # 判断执行结果，输出提示信息
        check_result = solution.check_result(expect, exec_result)
        TestcaseHelper.print_case(check_result, case_item, exec_result)

